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Finding the Third Proportional to 256,155 and 556,608

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Solution

The third proportional to 256,155 and 556,608 is: 1,209,472.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,155 : 556,608 = 556,608 : x
  2. Step 2: Convert to fraction form
    256,155/556,608 = 556,608/x
  3. Step 3: Cross multiply
    256,155x = 556,608 × 556,608
  4. Step 4: Simplify right side
    256,155x = 309,812,465,664
  5. Step 5: Solve for x
    x = 309,812,465,664/256,155
  6. Step 6: Final answer
    x = 1,209,472.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.